Analytical Techniques Of Celestial Mechanics

Author : Victor A. Brumberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642794548
Total Pages : 243 pages
Book Rating : 4.44/5 ( download)

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Download or read book Analytical Techniques of Celestial Mechanics written by Victor A. Brumberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to describe contemporary analytical and semi analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Celestial Mechanics by the same author, published in Russian in 1980. In spite of there being much common between these books, the present one is in fact a new mono graph.

Author : Victor Brumberg
Publisher : Springer
ISBN 13 : 9783642794551
Total Pages : 236 pages
Book Rating : 4.56/5 ( download)

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Download or read book Analytical Techniques of Celestial Mechanics written by Victor Brumberg and published by Springer. This book was released on 2011-12-22 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to describe contemporary analytical and semi analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Celestial Mechanics by the same author, published in Russian in 1980. In spite of there being much common between these books, the present one is in fact a new mono graph.

Author : Gerhard Beutler
Publisher : Springer
ISBN 13 : 9783540829171
Total Pages : 466 pages
Book Rating : 4.72/5 ( download)

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Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer. This book was released on 2009-09-02 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.

Author : Forest Ray Moulton
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.93/5 ( download)

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Download or read book An Introduction to Celestial Mechanics written by Forest Ray Moulton and published by . This book was released on 1914 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Gleb Aleksandrovich Chebotarev
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.79/5 ( download)

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Download or read book Analytical and Numerical Methods of Celestial Mechanics written by Gleb Aleksandrovich Chebotarev and published by . This book was released on 1967 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stated purpose of this book is to fill a gap in the Russian-language astronomical literature, which had lacked a fundamental textbook on celestial mechanics. The treatment is limited to detailed step-by-step analysis of six methods on which present-day theories of planetary, cometary, and satellite motion are based, beginning with the differential equations and culminating in a comparison of theory with observations. These are the Laplace-Newcomb method, the Hill planetary method, the method of variation of arbitrary constants, the Hill lunar method, and the periodic-orbit and Cowell methods. (Author).

Author : Aurel Wintner
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.32/5 ( download)

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Download or read book The Analytical Foundations of Celestial Mechanics written by Aurel Wintner and published by . This book was released on 1941 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dirk Brouwer
Publisher : Elsevier
ISBN 13 : 148322578X
Total Pages : 611 pages
Book Rating : 4.84/5 ( download)

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Download or read book Methods of Celestial Mechanics written by Dirk Brouwer and published by Elsevier. This book was released on 2013-09-03 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Celestial Mechanics provides a comprehensive background of celestial mechanics for practical applications. Celestial mechanics is the branch of astronomy that is devoted to the motions of celestial bodies. This book is composed of 17 chapters, and begins with the concept of elliptic motion and its expansion. The subsequent chapters are devoted to other aspects of celestial mechanics, including gravity, numerical integration of orbit, stellar aberration, lunar theory, and celestial coordinates. Considerable chapters explore the principles and application of various mathematical methods. This book is of value to mathematicians, physicists, astronomers, and celestial researchers.

Author : Gerhard Beutler
Publisher : Springer Science & Business Media
ISBN 13 : 3540268707
Total Pages : 473 pages
Book Rating : 4.03/5 ( download)

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Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer Science & Business Media. This book was released on 2005-11-20 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.

Author : Gerhard Beutler
Publisher : Springer Science & Business Media
ISBN 13 : 3540265120
Total Pages : 452 pages
Book Rating : 4.22/5 ( download)

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Download or read book Methods of Celestial Mechanics written by Gerhard Beutler and published by Springer Science & Business Media. This book was released on 2005-11-21 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.

Author : Victor Szebehely
Publisher : Elsevier
ISBN 13 : 0323163394
Total Pages : 765 pages
Book Rating : 4.92/5 ( download)

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Download or read book Celestial Mechanics and Astrodynamics written by Victor Szebehely and published by Elsevier. This book was released on 2014-09-30 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Mechanics and Astrodynamics